Calculating Mass Flow Rate of Nitrogen at 0.3m^3/s

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SUMMARY

The mass flow rate of nitrogen at a volumetric flow rate of 0.3 m³/s, under conditions of 1 bar pressure and 18°C temperature, can be calculated using the ideal gas law and the equation m=ρ*V*A. The density (ρ) can be derived from the equation PV = nRT, where R is the ideal gas constant (8314 J/kg·K). The volumetric flow rate allows for the calculation of mass flow rate without needing the flow area, simplifying the process.

PREREQUISITES
  • Understanding of the ideal gas law (PV = nRT)
  • Knowledge of mass flow rate calculations (m=ρ*V*A)
  • Familiarity with gas properties, specifically nitrogen
  • Basic algebra for rearranging equations
NEXT STEPS
  • Calculate the density of nitrogen at given conditions using the ideal gas law
  • Explore the relationship between volumetric flow rate and mass flow rate
  • Learn about the molecular mass of nitrogen for accurate mass calculations
  • Investigate applications of mass flow rate in engineering contexts
USEFUL FOR

Students in engineering or physics, professionals working with gas flow systems, and anyone needing to calculate mass flow rates in practical applications.

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Homework Statement



Work out the mass flow rate of Nitrogen traveling through a at 0.3m^3/s if the pressure is 1 bar and the temperature is 18°C and the ideal gas constant is 8314 J/Kg K

Homework Equations



m=ρ*V*A

m = mass flow rate
ρ= density
V = velocity
A = flow area

PV = nRT

where
P = pressure
V = volume
n = number of moles of gas
R = gas constant
T = absolute temperature


The Attempt at a Solution



I'm going round and round in a circle with it, the formula is simple enough and I know how to re-arrange it to get density but I need to work out the volume which is:

V = nRT/P

in order to do this I need to find the number of moles which is:

mass of the gas/ molecular mass

how do I work out the mass of the gas?

and how do I work out the flow area when there isn't one provided?

Thanks
 
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You are given the volumetric flow rate in m^3/s which is given by:

Volumetric flow rate = velocity * flow area.

Using this, you will not need the area
 

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